document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87065>Question 87065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one number is two more than a second number. twice the first number is four<BR>\n" );
document.write( "less than 3 times the second number. find the numbers  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63029 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=the first number<BR>\n" );
document.write( "And y=the second number<BR>\n" );
document.write( "Now we are told that one number is two more than a second number. So we have:\r<BR>\n" );
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document.write( "x=y+2-------------------------eq1\r<BR>\n" );
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document.write( "We are also told that twice the first number is four less than 3 times the second number.  And this gives us:\r<BR>\n" );
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document.write( "2x=3y-4----------------------------eq2\r<BR>\n" );
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document.write( "From eq1, substitute x=y+2 into eq2:\r<BR>\n" );
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document.write( "2(y+2)=3y-4  get rid of parens\r<BR>\n" );
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document.write( "2y+4=3y-4  subtract 3y and also 4 from both sides\r<BR>\n" );
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document.write( "2y+4-4-3y=3y-3y-4-4  collect like terms\r<BR>\n" );
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document.write( "-y=-8  divide both sides by -1\r<BR>\n" );
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document.write( "y=8  ----------------------------the second number\r<BR>\n" );
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document.write( "From eq1, x=y+2 or x=8+2=10------------------------the first number\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "one number(10) is 2 more than the second number(8)----------------ok\r<BR>\n" );
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document.write( "twice the first number(20) is four less than 3 times the second number(24-4=20)---ok\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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